
SCIENTIFIC PROGRAMS AND ACTIVITIES 

September 12, 2024  
Bimonthly Canadian Noncommutative Geometry Workshop

Upcoming talks 200809 

Saturday May 16 10:30 a.m. 
Markus J. Pflaum, University of
Colorado Higher index theorems on orbifolds. Given a symplectic orbifold and a deformation quantization on it, we prove an algebraic higher index theorem on orbifolds by computing the pairing between cyclic cocycles and the Ktheory of the formal deformation quantization. As an application, we obtain the analytic higher index theorem by ConnesMoscovici and its extension to orbifolds. 
10:30 a.m. 
Alexander Gorokhovsky, University of Colorado, Boulder One of the approaches to AtiyahSinger index theorems for Diractype operators is based on the study of behavior of heat kernels. I will describe how this approach allows to prove index theorem for a single operator and for a family of operators. Then I will discuss how heat equation methods can be applied to compute Chern character of groupoidequivariant operators in KKtheory and describe applications of this result, including a proof of A. Connes' index theorem for foliations. 
Support for graduate
students is available, please enquire, ncgworkshop<at>unb.ca.
This workshop is associated with the Center for Noncommutative Geometry
and Topology at the University of New Brunswick and the Noncommutative
Geometry Group at the University of Western Ontario.
www.math.unb.ca/~dan/copal/Centre_main.htm
We thank the Fields Instutute for financial support.